Answer:
[tex]y=-\frac{1}{2}x-8[/tex]
Step-by-step explanation:
[tex](-4,-6)(-2,-7)[/tex]
Step 1. Find the slope (by using the slope-formula)
m = slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-7--6}{-2--4}[/tex]
[tex]m=\frac{-1}{2}[/tex]
[tex]m=-\frac{1}{2}[/tex]
Step 2. Create the equation of a line that has a slope of [tex]-\frac{1}{2}[/tex]
[tex]y=-\frac{1}{2} x+b[/tex]
Step 3. Find the y-intercept
To do this, use any of the two points and substitute their x and y values
[tex]y=-\frac{1}{2}x+b[/tex]
point: [tex](-2,-7)[/tex]
[tex](-7)=-\frac{1}{2}(-2)+b[/tex]
[tex](-7)=1+b[/tex]
[tex]b=-7-1[/tex]
[tex]b=-8[/tex]
Step 4. Write the equation in Slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=-\frac{1}{2} x-8[/tex]
A population of bacteria contains 150 bacteria in generation 1 and triples in
population every generation. This sequence represents the number of
bacteria for the first few generations:
150, 450,1350, ...
What is the explicit formula for the number of bacteria in generation n?
Answer: bn= 150*3^(n-1)( bn is a quantity of bacteria in generation n)
Step-by-step explanation:
It looks like geometrical sequence, each next generation is three times greater than previous one. So the r of this sequence is 3.
The first generation has 150 representatives, so b1=150
The formula of geometrical sequence is bn=b1*r^(n-1)
(in our case bn is a quantity of bacteria in generation n)
so bn= 150*3^(n-1)( bn is a quantity of bacteria in generation n)
4. Find a pair of irrational numbers whose product is an integer.
Answer:
√2 and √3
Step-by-step explanation:
Answer:
Step-by-step explanation:
√2 and 5√2 are two irrational numbers
√2 * 5√2 = [tex]5*\sqrt{2*2} = 5 * 2 = 10[/tex]
and here 10 is an integer
Pls Help!! Alex is making bows for her friends out of a long piece of ribbon. A. Alex needs 9 inches of ribbon to make a bow. If she has a foot of ribbon, what fractional part of this length of ribbon is needed to make a bow? (Note: 1 foot = 12 inches)
Also explain how you found your answer.
Answer:
3/4 of the ribbon is needed to make a bow
Step-by-step explanation:
12 ÷ 4 = 3
so out of that foot of ribbon you use 3/4 of it for the bow
what’s the solution of 4= -2(x-3)
Step-by-step explanation:
Simplifying 4 + -2(x + -3) = 24 Reorder the terms: 4 + -2(-3 + x) = 24 4 + (-3 * -2 + x * -2) = 24 4 + (6 + -2x) = 24 Combine like terms: 4 + 6 = 10 10 + -2x = 24 Solving 10 + -2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 24 + -10 -2x = 24 + -10 Combine like terms: 24 + -10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
help help help help help
Answer:
the answer is c
Step-by-step explanation:
x - 7, y + 6
- 1 - 7, 4 + 6
- 8, 10
help me, please everyone;-;
Step-by-step explanation:
Using the power law of indices:
When two numbers with the same base multiply,add the exponents that is
[tex] {a}^{2} \times {a}^{3} = {a}^{2 + 3} = {a}^{5} [/tex]
Again,when two numbers with the same base divide, subtract the exponents,that is
[tex] {a}^{2} \div {a}^{4 } = {a}^{2 - 4} = {a}^{ - 2} [/tex]
There are way too many examples that is why I have elaborated the two laws for your perusal.
So for instance:
1.
[tex] {2}^{2} \times {2}^{5} = {2}^{7} [/tex]
Answer:
2² × 2⁵ = 2⁷
= 128
4⁴ × 4⁶ = 4¹⁰
= 1048576
6² × 6⁷ = 6⁹
= 10077696
9⁸ × 9⁸ = 9¹⁷
= 1.6677182e+16
Do try the rest out yourself!!! You can do it!!!
What is the range of the function represented by this graph?
Answer:
A. y ≤ 1
Step-by-step explanation:
according to the graph, the coordinates of maximum value is (-3, 1) and besides the graph towards down, so, the range of the function is y ≤ 1
What is $4.32 • 20= ???
I have never seen • in a math question before and I looked it up and it didn’t tell me anything. So can someone help me plzzz
Javier is constructing a door for his son's tree house. The dimensions of the rectangular door are 6a^2-a+2 feet and 3a^2+5 feet. He wants to cut out a square from the door to insert a glass panel, as per the diagram below. The glass panel will have a height of a -3 feet.After Javier removes the square for the glass panel, how much of the door will be made from wood?
The area of a figure is the amount of space the figure can occupy. [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Given
[tex]Length = 6a^2 + 2[/tex]
[tex]Width = 3a^2 + 5[/tex]
First, calculate the area of the rectangular door
[tex]Area = Length \times Width[/tex]
[tex]Area =(6a^2 + 2) \times ( 3a^2 + 5)[/tex]
[tex]Area = 18a^4 + 6a^2 + 30a^2 + 10[/tex]
[tex]Area = 18a^4 + 36a^2 + 10[/tex]
Next, calculate the area of the glass panel
The dimension of the glass panel is not given, and the diagram is not attached. So, I will assume the dimension of the square glass panel is [tex]6a[/tex].
So, the area of the glass panel is:
[tex]Area = 6a \times 6a[/tex]
[tex]Area = 36a^2[/tex]
To calculate how much wood that will be needed for the rectangular door, we simply subtract the area of the glass panel from the area of the door
[tex]Wood = 18a^4 + 36a^2 + 10 - 36a^2[/tex]
Collect like terms
[tex]Wood = 18a^4 + 10 + 36a^2 - 36a^2[/tex]
[tex]Wood = 18a^4 + 10[/tex]
Considering the assumed value, [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Learn more about areas at:
https://brainly.com/question/16418397
Marcie solved the following inequality, and her work is shown below.
What mistake did Marcie make in solving the inequality? (9th grade Algebra 1)
Answer:
She didn't change the direction of the sign
Step-by-step explanation:
When dividing both sides by a negative number in an inequality, you must change the sign.
Plz Help me!
Question is shown in the image
Answer:
Here,
X=(1,4,7,9)
Y=(2,4,5,9)
Now,
i=(1,2,4,5,7,9)
ii=((4,9)
iii=(1,2,4,5,7,9)
iv=(4,9)
What is the greatest integer that satisfies $6 - x > -9$ ?
Hi :)
6 - x > -9
6 - 16 > -9
-10 > -9
What I did was substitued an integer for x that would just break even and then be more than -9.
algebra 2A
1.) You and your friends are going on a road trip up the coast to San Francisco to watch the Dodgers play the Giants. The trip is about 810 miles, round trip. The car you are driving gets 288 miles on a full tank. How many times will you need to fill up your tank to make the round trip?
Answer:
3 times
Step-by-step explanation:
Equation: 810 = 288x
x = 2.8 meaning you need to fill up the tank 3 times
How do you translate "Forty more than triple a number, x." in a variable expression.
Answer:
3x + 40
Step-by-step explanation:
"More" means addition and "Triple" indicates multiplication.
So, 3x + 40 is the answer.
Can someone please explain how to find the difference -7 - (-8)
Answer:
1
Step-by-step explanation:
In the equation -7 - (-8), there are two 'minus' signs; we can convert two minus signs into a plus sign according to the 'minus minus equals plus' rule, that would make the equation (-7) + 8 for which the answer is +1.
Answer:
1
Step-by-step explanation:
-7-(-8)
First you should solve the brackets.Remeber (-) minus into (-) equal (+)therefore;
-7-(-8)= -7+8
when there is a minus and a plus you should minus the two numbers and put the largest value sign.therefore;
-7+8= 1
Hope you understand.If you have any problem just ask me I will solve it.
The formula for the perimeter of a rectangle is P = 2l + 2w. Solve the formula for l
in terms of P and w.
Answer:
P/2 -w = l
Step-by-step explanation:
P = 2l + 2w
Subtract 2w from each side
P-2w = 2l + 2w-2w
P -2w = 2l
Divide each side by 2
(P-2w)/2 = 2l/2
P/2 -w = l
3 x 52 x a = a x 2 x 78
Rewrite each angle in radian measure as a multiple of π.
540°
Rewrite each angle in degree measure.
-4π
Answer:
3π
Step-by-step explanation:
540° = 360° x 1 + 180°
= 2π + π
= 3π
CMIIW
where is the hundredths place in
12.083
?
Answer:
12.08
Step-by-step explanation:
What is the slope of What the slope of (6, -1) over (7, 3)
Answer:
4
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 3 - -1)/( 7-6)
= ( 3+1)/( 7-6)
= 4/1
=4
Please help...
ITS URGENT!!!!!!!!!!!!!!!!
Answer:
3.2 × 10⁻²
Step-by-step explanation:
→ First multiply the whole numbers
8 × 4 = 32
→ Now add the powers
32 × 10⁻³
→ Convert into standard form
3.2 × 10⁻²
One-fourth of a number decreased by 12 is 6. Find the number.
Answer: 1/4n-12=6
1n/4-12=6
n=72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
let the number be n , then
[tex]\frac{1}{4}[/tex] n - 12 = 6 ( multiply through by 4 to eliminate the fraction )
n - 48 = 24 ( add 48 to both sides )
n = 72
Which matrix multiplication is possible?
o [o 3]-[1 -4
o
:I::
T:
11:40
30
미
1
4
Answer: D
Step-by-step explanation:
dim A=(a,b), dim B=(c,d), in order to multiply, c=b
1) dim A=(1,2) , dim B=(1,2) but 2≠1
2) dim A=(2,1) , dim B=(2,2) but 1≠2
3) dim A=(2,2) , dim B=(1,2) but 2≠1
4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)
Okay so like for integers I use a number line to help me like negative on one side and positive on the other but how do I deal like with these problems? And please explain :)
Answer:
Step-by-step explanation:
remember this:-
if +,- comes: change sign to - (eg. 8+(-4)= 8-4=4)
if -,+ comes: change sign to - (eg. 8-(+4)= 8-4=4)
if -,- comes: change sign to + (eg. 8-(-4)=8+4=12)
if +,+ comes: change sign to + (eg. 8+(+4)=8+4=12)
-9+__ =-3 find the missing value
Answer:
6
Step-by-step explanation:
-9+6=-3
What is the length of AB?
Select the best answer from the choices provided.
A.3.5
B.3
C. 7
D.14
plz help me its due in 10 min 37 points
Answer:
1. Reason: Given
2. segment PQ is similar to segment PS
3. Reason: Same segment
4. Reason: Side-side-side theorem.
Step-by-step explanation:
Answer:
3 PR=PR
Step-by-step explanation:
show TRI PQR CONGRUENT TRI PSR
QR=SR(GIVEN)
PQ=PS(GIVEN)
PR=PR(COMMON SIDE)
SO BOTH CONGRUENT
Nancy’s grandma needs 5/8 of a yard of lace for each doll hat she makes. How many doll hats can she make with 10 yards of lace?
Answer:
16
Step-by-step explanation:
5/8= 0.625
10/0.625= 16
100 100
What is the decimal form of
3,5
100
and ? Determine whether each
6
decimal repeats or terminates.
Help me please need answers know and please no links.
4.7x2 + 9x = 0
We’re using the quadratic formulas and there is no c in the question. Do you do it and just not put the c in the equation? Or is there another way?
Hey there! I'm happy to help!
In this case c is equal to 0. There is always a, b, and c, but they might be invisible (for example if a is 1 or b or c are 0).
Then you can choose whichever method you like to factor these (completing the square, quadratic formula, factoring, etc.)
The zeros should be 0 and a number that is about -1.9.
Have a wonderful day and keep on learning! :D